Reliability bounds for the New Better than Used in Expectation distributions

Reliability bounds for the New Better than Used in Expectation distributions

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Article ID: iaor2004151
Country: United States
Volume: 49
Issue: 8
Start Page Number: 781
End Page Number: 797
Publication Date: Dec 2002
Journal: Naval Research Logistics
Authors: ,
Keywords: maintenance, repair & replacement, statistics: distributions
Abstract:

In this paper, we study upper and lower bounds on the reliability in new better than used in expectation (NBUE) life distribution class with fixed first two moments. By a constructive proof, we determine the upper bounds on the reliability analytically in different regions and show that these bounds are sharp. For the lower bounds, similar results are obtained except in one region. For that region, a conjecture is given for further study.

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